Search a number
-
+
328903500 = 22353297561
BaseRepresentation
bin10011100110101…
…010101101001100
3211220220000210010
4103212222231030
51133144403000
652345313220
711102430222
oct2346525514
9756800703
10328903500
11159726082
1292195810
13531aa973
1431978b12
151dd1cd50
hex139aab4c

328903500 has 96 divisors (see below), whose sum is σ = 990924480. Its totient is φ = 84672000.

The previous prime is 328903493. The next prime is 328903507. The reversal of 328903500 is 5309823.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (328903493) and next prime (328903507).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (328903507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39720 + ... + 47280.

It is an arithmetic number, because the mean of its divisors is an integer number (10322130).

Almost surely, 2328903500 is an apocalyptic number.

328903500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328903500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495462240).

328903500 is an abundant number, since it is smaller than the sum of its proper divisors (662020980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

328903500 is a wasteful number, since it uses less digits than its factorization.

328903500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 328903500 is about 18135.6968435183. The cubic root of 328903500 is about 690.2760919901.

The spelling of 328903500 in words is "three hundred twenty-eight million, nine hundred three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 125 145 150 174 250 290 300 348 375 435 500 580 725 750 870 1450 1500 1740 2175 2900 3625 4350 7250 7561 8700 10875 14500 15122 21750 22683 30244 37805 43500 45366 75610 90732 113415 151220 189025 219269 226830 378050 438538 453660 567075 657807 756100 877076 945125 1096345 1134150 1315614 1890250 2192690 2268300 2631228 2835375 3289035 3780500 4385380 5481725 5670750 6578070 10963450 11341500 13156140 16445175 21926900 27408625 32890350 54817250 65780700 82225875 109634500 164451750 328903500